Prime p₀= 1340934980632650131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 154 2 100 2 28 2 40 2 34 2 (?)
a_n: 0 2 120 122 276 278 378 380 408 410 450 452 486 488
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 488
Found by: Skivelitis2
db: batch=77, k=14, 118 154 100 28 40 34

SPT(16)	1340933580208551311	0 8 26 42 50 66 78 98 120 140 152 168 176 192 210 218	-1400424098820
STPT(10)	1340933960451538877	0 2 54 56 72 74 90 92 144 146	-1020181111254
STPT(10)	1340933993613685787	0 2 30 32 42 44 54 56 84 86	-987018964344
SPT(16)	1340934084456215681	0 12 68 108 120 122 126 158 210 242 246 248 260 300 356 368	-896176434450
SPT(16)	1340934183177889241	0 12 30 50 62 110 132 138 212 218 240 288 300 320 338 350	-797454760890
SPT(16)	1340934219252832943	0 6 30 36 44 50 56 60 74 78 84 90 98 104 128 134	-761379817188
SPT(16)	1340935101030187171	0 36 46 82 90 126 130 138 160 168 172 208 216 252 262 298	120397537040
TPT(14)	1340935284619842719	0 2 12 14 78 80 150 152 168 170 192 194 210 212	303987192588
SPT(16)	1340935622688265277	0 44 56 60 86 114 126 144 146 164 176 204 230 234 246 290	642055615146
STPT(10)	1340935725686312027	0 2 24 26 42 44 60 62 84 86	745053661896
SPT(16)	1340936144101606109	0 38 50 74 98 102 110 122 180 192 200 204 228 252 264 302	1163468955978